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U₁ = 9uxx-54x, 0 0, u(0,1)= 1, u(4,1) = 61, 1>0, u(x, 0) = 2 − x+x³, 0≤x≤ 4

U₁ = 9uxx-54x, 0 0, u(0,1)= 1, u(4,1) = 61, 1>0, u(x, 0) = 2 − x+x³, 0≤x≤ 4

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Solve the heat equation
u₁ = 9uxx - 54x, 0<x< 4, t > 0, 1>0, u(0, 1) = 1, u(4,1) = 61, u(x,0) = 2 − x + x³. 0 < x < 4
Transcribed Image Text:u₁ = 9uxx - 54x, 0<x< 4, t > 0, 1>0, u(0, 1) = 1, u(4,1) = 61, u(x,0) = 2 − x + x³. 0 < x < 4
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